Q: Q5A) Find volume of body from above Z = Triple integration. 4-x2 - y2 and below Z = 1 using
A: To find the volume of body bounded by given curves.
Q: Bonus ( Show that given R: x € [0,1] Ay € [0,2] [[3x²yexydy dx = 6
A: See this solution in below
Q: Solve the following linear programming problem. Maximize: z= 39x+10y subject to: 8x+6y ≤48…
A: Given that, Maximize: z= 39x+10y subject to: 8x+6y ≤48 13x+y ≤48…
Q: 10. Find r(t) if = (4t3+ 4t)i + 6tj + 3t²k, r(0) =i+j.
A: We have to find out r
Q: Question The graph of f(x) = -2x³+x-3 is shown below. Use the tools to graph the line tangent to…
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Q: Find y': y=V5+2 — 2 O y = 7-2x 2√5+2x-x² Oy = √2-2x 1 Oy = 2√5+2x-x² 1-x O y = √5+2x-x2
A: We have to find derivative of given function.
Q: The length of an astroid The graph of the equation x2/3 + y2/3= 1 is one of a family of curves…
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Q: Find the minimum and maximum values of z=6x+7y, if possible, for the following set of constraints.…
A: The given constraints are: x+y≤9-x+y≤32x-y≤12
Q: B)Evaluate the integrals: i) f/2rdrde. ii)/2/2 x 2² siny dz dy dx.
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Q: B)Prove (cose + i sine)" = cosne + i sin ne
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Q: Using the Inverse Function Theorem, what is (-) (8) given that f(x)=√6x-2? Note that (11) = 8. (B8…
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Q: Fill in the blanks: Use integration to find the volume of the solid obtained by revolving the region…
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Q: d²y dx² 2 (2x-3)² Find y = O O d²y dx² d²y dx² d²y dx² O d'y dx² = = = = 12 (2x-3)¹ -12 (2x-3)4 48…
A: Given
Q: B)Solve differential equation dx = -(x²+y) x+siny
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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √7-x, 1 ≤x≤7
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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 1x³/2, 0 ≤…
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Q: Q5A) Find volume of body from above Z = √√4-x² - y² and below Z Triple integration. 1 using
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Q: -(x²+y) dx x+siny B)Solve differential equation =
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Q: = A region bounded by f(x) 9 8 Find the volume of the solid formed by revolving the region about the…
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Q: 10. Determine the point on the line x + 2y = 2 that is closest to (0, 0). Draw a sketch.
A: point which is closest to origin
Q: S(x + ex+1) dx 0 2. Sx5¹2 (x³ + x² - 7) dx 0 2x + 1 3. dx 2 0 e
A: Topic = Integration
Q: Law of Sines Law of Cosines Maze Round all angles to the nearest degree and all sides to the tenths…
A: Disclaimer : Since you have posted a question with multiple sub-parts ,we will solve first three sub…
Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…
A: solve
Q: prove the following properties of the laplace transform, knowing that L{f(t)} = f(s)
A: Prooof of the above properties of laplace is given by
Q: Determine the derivative of y = ln(4x² - 2x). O 8x-2 4x-1 8x-2 4x²-x 4x-1 4x²-x 4x-1 2x2- -x O O
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Q: Which of the following interval is f(x) = O (2, +∞0) O [2, +∞0) 0 (-∞0, +∞0) ○ (0, +∞) 1 Vx…
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Q: Evaluate the integral. 2 - 121 y - 121 2 -dy, y> 11 dy=
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Q: Evaluate: [x(1-2²) da ¾ O ³(1-x²) + C 3 0-² (1-x²) O 3 + C O 2/(1-x²) + C 3 O ㅇ글 (1-22) : + C (1-x²)…
A: Here we have to find the integral.
Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…
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Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find f(x)* g(x) 2. h(x)/ f(x) 3.…
A: Given, f(x) =(2x-3) g(x) = -4x2+9 = 9-4x2 = (3)2-(2x)2 = (3-2x)(3+2x) h(x) = 4x2-12x+9 =…
Q: ४ = (y3/2/3) - y¹/2 from y = 1 to y = 9
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Q: A) Find area bounded by y = 0, y = √x - x² using double integration.
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Q: Using the Inverse Function Theorem, what is (-1) (8) given that (x) = √6x-2? Note that (11)= 8. (Do…
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Q: 31 Matrix A =[42],find Eigen values of A².
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Q: a) 4x² +9y² + z² = 36 b) x² - y²z² = 1 c) x² +100y² - 36z² = 100 d) z = z= 2x² - 4y² e) x = z² - y²…
A: d)
Q: If [ f(x) dx O 10 0 2 O O -2 = 4 and 4 [*g(x)dx = 6, what is 5 2 [ f(x)dx + ² g(x)dx? 4
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Q: A region bounded by f(x) = 5 — x, y = 0, and x = 1 is shown below. Find the volume of the solid…
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Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i-3j-k, find vector normal to A and In plane of A and, B.
A: See the details solution in below
Q: Cos y dy 1-siny
A: The given integral is: I=∫cos2y1-sinydy As we know that; The trigonometric identity: sin2x+cos2x=1…
Q: You need a 50% alcohol solution. On hand, you have a 110 mL of a 10% alcohol mixture. You also have…
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Q: Solve x + 13| ≤3 the following inequality and graph the solution set. Select the correct choice…
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Q: B)Is w = Zez analytical function or not?
A: Here given that. W=z.ez we know that z is polynomial function and ez is exponential function both…
Q: a. Find a curve with a positive derivative through the point (1, 1) whose length integral (Equation…
A: To find curve satisfying the given conditions.
Q: Solve for m ffm m(8xy + x?)dxdy =3, 0<y<x<1
A: we can solve as follows
Q: +[ƒ Given that 5 ≤ f(x) ≤ 6 for -4 ≤ x ≤7, use property 8 of Section 5.2 of the Stewart Essential…
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Q: Use a system of linear equations with two variables and two equations to solve. A number is 8 more…
A: The solution is given below
Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) [0, 12] r 2 X…
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Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find
A: given
Q: Use the properties of the derivative to find r(t) = 3/i+6f³j+31³k u(t)=2i+2r²j-3t³k [r(t) - u(t)]…
A: This question is related to derivative, we will solve it using given information.
Q: for (#)(x). 100. Find the restrictions in the domain, if any, for then select all answers that are…
A: It is given that: h(x)=x2-5x-24,j(x)=5x+15
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